100301142257 has 2 divisors, whose sum is σ = 100301142258. Its totient is φ = 100301142256.

The previous prime is 100301142223. The next prime is 100301142287. The reversal of 100301142257 is 752241103001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98159396416 + 2141745841 = 313304^2 + 46279^2 .

It is an emirp because it is prime and its reverse (752241103001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100301142257 - 2³² = 96006174961 is a prime.

It is not a weakly prime, because it can be changed into another prime (100301142287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50150571128 + 50150571129.

It is an arithmetic number, because the mean of its divisors is an integer number (50150571129).

Almost surely, 2^100301142257 is an apocalyptic number.

It is an amenable number.

100301142257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100301142257 is an equidigital number, since it uses as much as digits as its factorization.

100301142257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 26.

Adding to 100301142257 its reverse (752241103001), we get a palindrome (852542245258).

The spelling of 100301142257 in words is "one hundred billion, three hundred one million, one hundred forty-two thousand, two hundred fifty-seven".